document.write( "Question 862313: If z is a whole number, explain why the value of the expression z(z+1) is always even \n" ); document.write( "

Algebra.Com's Answer #519598 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
If $\"+z+\"$ is odd, then
\n" ); document.write( " $\"+z+%2B+1+\"$ is even, and
\n" ); document.write( " $\"+z%2A%28+z+%2B+1+%29+\"$ is odd x even
\n" ); document.write( "--------------------------
\n" ); document.write( "If $\"+z+\"$ is even, then
\n" ); document.write( " $\"+z+%2B+1+\"$ is odd, and
\n" ); document.write( " $\"+z%2A%28+z+%2B+1+%29+\"$ is even x odd
\n" ); document.write( "---------------------------
\n" ); document.write( "In both cases, you have an even
\n" ); document.write( "number with an odd multiplier
\n" ); document.write( "which has to be even
\n" ); document.write( " \n" ); document.write( "

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